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3 years ago

The sum of the measures of five interior angles of a hexagon is 593°. Find the missing measure of the sixth interior angle.

1 answer:

7 0

General Formula for a n-gon:

$\boxed { \boxed { \text { (n-2) x 180}}}$

A hexagon has 6 sides.

Sum of all interior angles of a hexagon = (6 - 2) x 180 = 4 x 180 = 720°

Given that sum of 5 interior angles = 593°

6th interior angles = 720 - 593 = 127°

$\boxed { \boxed { \text {The 6th angle is 127\textdegree} }}$

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$\huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }$

$\large\underline{ \boxed{ \sf{✰\:Important\: point's }}}$

➢Given two lines are intersecting lines
➢ as it's clearly known when two or more lines meet each other at a specific points is said to be as intersecting lines nd they must be having a common point
➢Here angle t and angle 120⁰ forms adjacent angles
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${ \rule{70mm}{2.9pt}}$

$\underline{ \boxed{ \sf{✵\: let's\: solve\:✵}}}$

$\sf ➛\angle \: 120 \degree + \angle \:t = 180\degree \\ \sf ➛\angle \:t = 180 \degree - \angle \:120 \degree \\ \sf ➛\angle \: t = \:60 \degree$

${ \rule{70mm}{2.9pt}}$

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